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Simplifying -4x + 7 = 5(2x + -1) + -3(-12 + 2x) Reorder the terms: 7 + -4x = 5(2x + -1) + -3(-12 + 2x) Reorder the terms: 7 + -4x = 5(-1 + 2x) + -3(-12 + 2x) 7 + -4x = (-1 * 5 + 2x * 5) + -3(-12 + 2x) 7 + -4x = (-5 + 10x) + -3(-12 + 2x) 7 + -4x = -5 + 10x + (-12 * -3 + 2x * -3) 7 + -4x = -5 + 10x + (36 + -6x) Reorder the terms: 7 + -4x = -5 + 36 + 10x + -6x Combine like terms: -5 + 36 = 31 7 + -4x = 31 + 10x + -6x Combine like terms: 10x + -6x = 4x 7 + -4x = 31 + 4x Solving 7 + -4x = 31 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 7 + -4x + -4x = 31 + 4x + -4x Combine like terms: -4x + -4x = -8x 7 + -8x = 31 + 4x + -4x Combine like terms: 4x + -4x = 0 7 + -8x = 31 + 0 7 + -8x = 31 Add '-7' to each side of the equation. 7 + -7 + -8x = 31 + -7 Combine like terms: 7 + -7 = 0 0 + -8x = 31 + -7 -8x = 31 + -7 Combine like terms: 31 + -7 = 24 -8x = 24 Divide each side by '-8'. x = -3 Simplifying x = -3
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